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stealth61 [152]
2 years ago
8

A circle has a radius of 13 units. In terms of it, what is the exact area of the circle​

Mathematics
1 answer:
a_sh-v [17]2 years ago
5 0

Answer:

530.66

Step-by-step explanation:

As, The area of any circle = πr^2

So r is the radius

So, π x 13^2

= π x 169

= 3.14 x 169

Area of circle = 530.66 square units

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3) Solve each equation using the quadratic formula. Show<br> a. x2 – 3x – 10 = 0
Naya [18.7K]

Answer:

<h2>x = -2 or x = 5</h2>

Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}

\text{If}\ b^2-4ac

We have:

x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

5 0
3 years ago
The solution of the equation 7x+2=23 is ?
ikadub [295]
7x+2=23
Move 2 to the other side
7x=23-2
7x=21 

To isolate the x divide both sides by 7
x=3 

To check plug the value of x back in 

7(3)+2=23
21+2=23
23=23
3 0
2 years ago
Read 2 more answers
Juan is going to flip a coin 2 times. What is the fractional probability that it will be two heads
sertanlavr [38]

Answer:

The fractional probability of getting 2 heads is 1/4.

4 0
3 years ago
Determina la masa molar y el volumen que ocupa la siguiente sustancia CO2, si su masa es de 28 gr. *
balandron [24]

Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

7 0
3 years ago
HELP PLS!!! find x and y please show steps
loris [4]

Answer:

<h3>            x = 7 ,   y = 7√2</h3>

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

      7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}

4 0
2 years ago
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